Open Access Research Article

On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations

Gao Jia*, Qing Zhao and Chun-yan Dai

Author Affiliations

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

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Boundary Value Problems 2009, 2009:156063  doi:10.1155/2009/156063

Published: 27 September 2009

Abstract

Using Mountain Pass Lemma, we obtain the existence of nontrivial weak solutions for a class of superlinear and nonhomogeneous quasilinear equations. The key factor in this paper is to use the new idea of near p-homogeneity in conjunction with variational techniques to obtain a new multiplicity result for a vast set of nonlinear equations, such as the mean curvature equation and so on.